Ms Dykes said several of the pups which died had been brought to her for treatment.
“We had one with part of the face eroded off,” she said.
“It was pitiful to see the poor thing in that condition.
“The closest unit is up in Tyneside, which is too far for them to travel, and I believe they only have space for two seals at a time.
“With the numbers we’ve been seeing this summer that is not going to be enough.”
She described the seals as the “jewel in the crown” of Hartlepool.
The Tara Seal Research team said it is investigating the deaths.